message stringlengths 2 44.5k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 42 109k | cluster float64 5 5 | __index_level_0__ int64 84 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given a positive integer m, we say that a sequence x_1, x_2, ..., x_n of positive integers is m-cute if for every index i such that 2 ≤ i ≤ n it holds that x_i = x_{i - 1} + x_{i - 2} + ... + x_1 + r_i for some positive integer r_i satisfying 1 ≤ r_i ≤ m.
You will be given q queries consisting of three positive integers a, b and m. For each query you must determine whether or not there exists an m-cute sequence whose first term is a and whose last term is b. If such a sequence exists, you must additionally find an example of it.
Input
The first line contains an integer number q (1 ≤ q ≤ 10^3) — the number of queries.
Each of the following q lines contains three integers a, b, and m (1 ≤ a, b, m ≤ 10^{14}, a ≤ b), describing a single query.
Output
For each query, if no m-cute sequence whose first term is a and whose last term is b exists, print -1.
Otherwise print an integer k (1 ≤ k ≤ 50), followed by k integers x_1, x_2, ..., x_k (1 ≤ x_i ≤ 10^{14}). These integers must satisfy x_1 = a, x_k = b, and that the sequence x_1, x_2, ..., x_k is m-cute.
It can be shown that under the problem constraints, for each query either no m-cute sequence exists, or there exists one with at most 50 terms.
If there are multiple possible sequences, you may print any of them.
Example
Input
2
5 26 2
3 9 1
Output
4 5 6 13 26
-1
Note
Consider the sample. In the first query, the sequence 5, 6, 13, 26 is valid since 6 = 5 + \bf{\color{blue} 1}, 13 = 6 + 5 + {\bf\color{blue} 2} and 26 = 13 + 6 + 5 + {\bf\color{blue} 2} have the bold values all between 1 and 2, so the sequence is 2-cute. Other valid sequences, such as 5, 7, 13, 26 are also accepted.
In the second query, the only possible 1-cute sequence starting at 3 is 3, 4, 8, 16, ..., which does not contain 9.
Submitted Solution:
```
from math import log2
def find_k(A, B, M):
for k in range(2, 51):
s = 2 ** (k-2)
if (A+1) * s <= B and (A+M) * s >= B:
return k
return -1
def solve(A, B, M):
if A == B:
print('1', A)
return
k = find_k(A, B, M)
if k == -1:
print(-1)
return
print(k, end=' ')
a = A
print(A, end=' ')
R = B - (2 ** (k-2)) * A
for i in range(k-3, -1, -1):
s = 2 ** i
r = min(R // s - 1, M)
print(a + r, end=' ')
a += a + r
R -= r * s
assert 0 < R <= M
print(B)
Q = int(input())
for case in range(Q):
A, B, M = [int(x) for x in input().split()]
solve(A, B, M)
``` | instruction | 0 | 76,779 | 5 | 153,558 |
Yes | output | 1 | 76,779 | 5 | 153,559 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given a positive integer m, we say that a sequence x_1, x_2, ..., x_n of positive integers is m-cute if for every index i such that 2 ≤ i ≤ n it holds that x_i = x_{i - 1} + x_{i - 2} + ... + x_1 + r_i for some positive integer r_i satisfying 1 ≤ r_i ≤ m.
You will be given q queries consisting of three positive integers a, b and m. For each query you must determine whether or not there exists an m-cute sequence whose first term is a and whose last term is b. If such a sequence exists, you must additionally find an example of it.
Input
The first line contains an integer number q (1 ≤ q ≤ 10^3) — the number of queries.
Each of the following q lines contains three integers a, b, and m (1 ≤ a, b, m ≤ 10^{14}, a ≤ b), describing a single query.
Output
For each query, if no m-cute sequence whose first term is a and whose last term is b exists, print -1.
Otherwise print an integer k (1 ≤ k ≤ 50), followed by k integers x_1, x_2, ..., x_k (1 ≤ x_i ≤ 10^{14}). These integers must satisfy x_1 = a, x_k = b, and that the sequence x_1, x_2, ..., x_k is m-cute.
It can be shown that under the problem constraints, for each query either no m-cute sequence exists, or there exists one with at most 50 terms.
If there are multiple possible sequences, you may print any of them.
Example
Input
2
5 26 2
3 9 1
Output
4 5 6 13 26
-1
Note
Consider the sample. In the first query, the sequence 5, 6, 13, 26 is valid since 6 = 5 + \bf{\color{blue} 1}, 13 = 6 + 5 + {\bf\color{blue} 2} and 26 = 13 + 6 + 5 + {\bf\color{blue} 2} have the bold values all between 1 and 2, so the sequence is 2-cute. Other valid sequences, such as 5, 7, 13, 26 are also accepted.
In the second query, the only possible 1-cute sequence starting at 3 is 3, 4, 8, 16, ..., which does not contain 9.
Submitted Solution:
```
import math
for i in range(int(input())):
a, b, m = map(int,input().split())
out = ""
if a == b:
print("1 {}".format(a))
continue
if b - a <= m:
print(2, a, b)
continue
for q in range(51):
j = (b / (2 ** q)) - 2 * a - m
if j%1 == 0 and 0<j<m+1:
if q % 1 == 0:
last_print = (2 * a + j + m) / 2
out += "{} {} {} ".format(int(q) + 3, a, int(a + j))
for k in range(int(q) + 1):
last_print = int(2 * last_print)
out += str(last_print) + " "
break
if len(out) > 0:
print(out)
else:
print(-1)
# (2*a + j + m) * 2**q = b
# j = (b/(2**q)) - 2*a - m
``` | instruction | 0 | 76,780 | 5 | 153,560 |
No | output | 1 | 76,780 | 5 | 153,561 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given a positive integer m, we say that a sequence x_1, x_2, ..., x_n of positive integers is m-cute if for every index i such that 2 ≤ i ≤ n it holds that x_i = x_{i - 1} + x_{i - 2} + ... + x_1 + r_i for some positive integer r_i satisfying 1 ≤ r_i ≤ m.
You will be given q queries consisting of three positive integers a, b and m. For each query you must determine whether or not there exists an m-cute sequence whose first term is a and whose last term is b. If such a sequence exists, you must additionally find an example of it.
Input
The first line contains an integer number q (1 ≤ q ≤ 10^3) — the number of queries.
Each of the following q lines contains three integers a, b, and m (1 ≤ a, b, m ≤ 10^{14}, a ≤ b), describing a single query.
Output
For each query, if no m-cute sequence whose first term is a and whose last term is b exists, print -1.
Otherwise print an integer k (1 ≤ k ≤ 50), followed by k integers x_1, x_2, ..., x_k (1 ≤ x_i ≤ 10^{14}). These integers must satisfy x_1 = a, x_k = b, and that the sequence x_1, x_2, ..., x_k is m-cute.
It can be shown that under the problem constraints, for each query either no m-cute sequence exists, or there exists one with at most 50 terms.
If there are multiple possible sequences, you may print any of them.
Example
Input
2
5 26 2
3 9 1
Output
4 5 6 13 26
-1
Note
Consider the sample. In the first query, the sequence 5, 6, 13, 26 is valid since 6 = 5 + \bf{\color{blue} 1}, 13 = 6 + 5 + {\bf\color{blue} 2} and 26 = 13 + 6 + 5 + {\bf\color{blue} 2} have the bold values all between 1 and 2, so the sequence is 2-cute. Other valid sequences, such as 5, 7, 13, 26 are also accepted.
In the second query, the only possible 1-cute sequence starting at 3 is 3, 4, 8, 16, ..., which does not contain 9.
Submitted Solution:
```
Q = int(input())
for _ in range(Q):
a, b, m = map(int, input().split())
X = [a]
Y = [a]
s = a
t = a
while True:
X.append(s+1)
Y.append(t+m)
s += s+1
t += t+m
if X[-1] <= b <= Y[-1]:
Z = [0] * len(X)
Z[-1] = b
for j in range(len(Z)-1)[::-1]:
mi = (Z[j+1]-m+1) // 2
ma = (Z[j+1]-1) // 2
Z[j] = X[j] + (Z[j+1]-X[j+1])//2
print(len(Z), *Z)
break
elif X[-1] >= b:
print(-1)
break
``` | instruction | 0 | 76,781 | 5 | 153,562 |
No | output | 1 | 76,781 | 5 | 153,563 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given a positive integer m, we say that a sequence x_1, x_2, ..., x_n of positive integers is m-cute if for every index i such that 2 ≤ i ≤ n it holds that x_i = x_{i - 1} + x_{i - 2} + ... + x_1 + r_i for some positive integer r_i satisfying 1 ≤ r_i ≤ m.
You will be given q queries consisting of three positive integers a, b and m. For each query you must determine whether or not there exists an m-cute sequence whose first term is a and whose last term is b. If such a sequence exists, you must additionally find an example of it.
Input
The first line contains an integer number q (1 ≤ q ≤ 10^3) — the number of queries.
Each of the following q lines contains three integers a, b, and m (1 ≤ a, b, m ≤ 10^{14}, a ≤ b), describing a single query.
Output
For each query, if no m-cute sequence whose first term is a and whose last term is b exists, print -1.
Otherwise print an integer k (1 ≤ k ≤ 50), followed by k integers x_1, x_2, ..., x_k (1 ≤ x_i ≤ 10^{14}). These integers must satisfy x_1 = a, x_k = b, and that the sequence x_1, x_2, ..., x_k is m-cute.
It can be shown that under the problem constraints, for each query either no m-cute sequence exists, or there exists one with at most 50 terms.
If there are multiple possible sequences, you may print any of them.
Example
Input
2
5 26 2
3 9 1
Output
4 5 6 13 26
-1
Note
Consider the sample. In the first query, the sequence 5, 6, 13, 26 is valid since 6 = 5 + \bf{\color{blue} 1}, 13 = 6 + 5 + {\bf\color{blue} 2} and 26 = 13 + 6 + 5 + {\bf\color{blue} 2} have the bold values all between 1 and 2, so the sequence is 2-cute. Other valid sequences, such as 5, 7, 13, 26 are also accepted.
In the second query, the only possible 1-cute sequence starting at 3 is 3, 4, 8, 16, ..., which does not contain 9.
Submitted Solution:
```
from sys import stdin, stdout
``` | instruction | 0 | 76,782 | 5 | 153,564 |
No | output | 1 | 76,782 | 5 | 153,565 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given a positive integer m, we say that a sequence x_1, x_2, ..., x_n of positive integers is m-cute if for every index i such that 2 ≤ i ≤ n it holds that x_i = x_{i - 1} + x_{i - 2} + ... + x_1 + r_i for some positive integer r_i satisfying 1 ≤ r_i ≤ m.
You will be given q queries consisting of three positive integers a, b and m. For each query you must determine whether or not there exists an m-cute sequence whose first term is a and whose last term is b. If such a sequence exists, you must additionally find an example of it.
Input
The first line contains an integer number q (1 ≤ q ≤ 10^3) — the number of queries.
Each of the following q lines contains three integers a, b, and m (1 ≤ a, b, m ≤ 10^{14}, a ≤ b), describing a single query.
Output
For each query, if no m-cute sequence whose first term is a and whose last term is b exists, print -1.
Otherwise print an integer k (1 ≤ k ≤ 50), followed by k integers x_1, x_2, ..., x_k (1 ≤ x_i ≤ 10^{14}). These integers must satisfy x_1 = a, x_k = b, and that the sequence x_1, x_2, ..., x_k is m-cute.
It can be shown that under the problem constraints, for each query either no m-cute sequence exists, or there exists one with at most 50 terms.
If there are multiple possible sequences, you may print any of them.
Example
Input
2
5 26 2
3 9 1
Output
4 5 6 13 26
-1
Note
Consider the sample. In the first query, the sequence 5, 6, 13, 26 is valid since 6 = 5 + \bf{\color{blue} 1}, 13 = 6 + 5 + {\bf\color{blue} 2} and 26 = 13 + 6 + 5 + {\bf\color{blue} 2} have the bold values all between 1 and 2, so the sequence is 2-cute. Other valid sequences, such as 5, 7, 13, 26 are also accepted.
In the second query, the only possible 1-cute sequence starting at 3 is 3, 4, 8, 16, ..., which does not contain 9.
Submitted Solution:
```
def get_r_list(a, b, m):
k = 2
two_power_k = 1
isMatch = False
if a == b:
return 1, []
while True:
if b <= two_power_k * (a + 1):
isMatch = True
break
if k == 50:
break
k += 1
two_power_k *= 2
if isMatch:
k -= 1
two_power_k = two_power_k / 2
gap = b - two_power_k * (a + 1)
two_power_k = int(two_power_k / 2) # 2^k-3
r_list = []
while two_power_k != 0:
# print("two: ", end="")
# print(two_power_k)
if gap >= two_power_k:
index_r = 0
gap_divide = int(gap / two_power_k)
if gap_divide > m - 1:
index_r = m - 1
else:
index_r = gap_divide
gap = gap - two_power_k * index_r
r_list.append(index_r)
two_power_k = int(two_power_k / 2)
else:
two_power_k = int(two_power_k / 2)
r_list.append(0)
isDone = False
if gap == 0:
isDone = True
r_list.append(0)
else:
if gap <= m - 1:
isDone = True
r_list.append(gap)
else:
isDone = False
if isDone:
return k, r_list
else:
return -1, r_list
# print(k)
# print(r_list)
def cute_sequence(a, b, m):
k, r_list = get_r_list(a, b, m)
if k == -1:
print(k)
return
if k == 1:
print(1, end=" ")
print(1)
return
sequence_list = []
sequence_list.append(a)
sequence_list.append(a + r_list[0] + 1)
for i in range(2, k):
next_a = 2 * sequence_list[i - 1] + r_list[i - 1] - r_list[i - 2]
sequence_list.append(next_a)
print(k, end=" ")
for ele in sequence_list:
print(ele, end=" ")
print()
return
N = int(input())
for _ in range(N):
a, b, m = input().split()
a = int(a)
b = int(b)
m = int(m)
cute_sequence(a, b, m)
``` | instruction | 0 | 76,783 | 5 | 153,566 |
No | output | 1 | 76,783 | 5 | 153,567 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An integer sequence is called beautiful if the difference between any two consecutive numbers is equal to 1. More formally, a sequence s_1, s_2, …, s_{n} is beautiful if |s_i - s_{i+1}| = 1 for all 1 ≤ i ≤ n - 1.
Trans has a numbers 0, b numbers 1, c numbers 2 and d numbers 3. He wants to construct a beautiful sequence using all of these a + b + c + d numbers.
However, it turns out to be a non-trivial task, and Trans was not able to do it. Could you please help Trans?
Input
The only input line contains four non-negative integers a, b, c and d (0 < a+b+c+d ≤ 10^5).
Output
If it is impossible to construct a beautiful sequence satisfying the above constraints, print "NO" (without quotes) in one line.
Otherwise, print "YES" (without quotes) in the first line. Then in the second line print a + b + c + d integers, separated by spaces — a beautiful sequence. There should be a numbers equal to 0, b numbers equal to 1, c numbers equal to 2 and d numbers equal to 3.
If there are multiple answers, you can print any of them.
Examples
Input
2 2 2 1
Output
YES
0 1 0 1 2 3 2
Input
1 2 3 4
Output
NO
Input
2 2 2 3
Output
NO
Note
In the first test, it is easy to see, that the sequence is beautiful because the difference between any two consecutive numbers is equal to 1. Also, there are exactly two numbers, equal to 0, 1, 2 and exactly one number, equal to 3.
It can be proved, that it is impossible to construct beautiful sequences in the second and third tests.
Submitted Solution:
```
#------------------------template--------------------------#
import os
import sys
from math import *
from collections import *
# from fractions import *
# from heapq import*
from bisect import *
from io import BytesIO, IOBase
def vsInput():
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b"\n") + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode("ascii"))
self.read = lambda: self.buffer.read().decode("ascii")
self.readline = lambda: self.buffer.readline().decode("ascii")
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
ALPHA='abcdefghijklmnopqrstuvwxyz'
M=10**9+7
EPS=1e-6
def Ceil(a,b): return a//b+int(a%b>0)
def value():return tuple(map(int,input().split()))
def array():return [int(i) for i in input().split()]
def Int():return int(input())
def Str():return input()
def arrayS():return [i for i in input().split()]
#-------------------------code---------------------------#
# vsInput()
c0,c1,c2,c3=value()
ok=True
tot=c0+c1+c2+c3
M=c0+c2+c0+c2+1
ans=[-1]*(c0+c2+c0+c2+1)
M=len(ans)
if(tot>M or tot<c0+c2+c0+c2-1): ok=False
# print(ok)
# Filling 0 and 2 ---------/
for i in range(len(ans)):
if(i%2):
if(c0):
c0-=1
ans[i]=0
elif(c2):
c2-=1
ans[i]=2
# print(ans)
# Filling 3 between 2 ----------/
for i in range(len(ans)-2,0,-1):
if(c3 and ans[i-1]==2 and ans[i+1]==2):
c3-=1
ans[i]=3
if(c3):
ans[-1]=3
c3-=1
if(c3 and ans[1]==2):
ans[0]=3
c3-=1
if(c3):ok=False
# print(ans)
# Filling 1 -----------------/
for i in range(2,len(ans)):
if(ans[i]==-1 and c1):
c1-=1
ans[i]=1
# print(ans)
if(c1 and ans[0]==-1):
ans[0]=1
c1-=1
if(c1): ok=False
start=0
end=len(ans)-1
while(ans[start]==-1): start+=1
while(ans[end]==-1): end-=1
for i in range(start,end+1):
if(ans[i]==-1):ok=False
if(ok):
print("YES")
print(*ans[start:end+1])
else:
print("NO")
``` | instruction | 0 | 76,851 | 5 | 153,702 |
No | output | 1 | 76,851 | 5 | 153,703 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a consisting of n positive integers, numbered from 1 to n. You can perform the following operation no more than 3n times:
1. choose three integers i, j and x (1 ≤ i, j ≤ n; 0 ≤ x ≤ 10^9);
2. assign a_i := a_i - x ⋅ i, a_j := a_j + x ⋅ i.
After each operation, all elements of the array should be non-negative.
Can you find a sequence of no more than 3n operations after which all elements of the array are equal?
Input
The first line contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases. Then t test cases follow.
The first line of each test case contains one integer n (1 ≤ n ≤ 10^4) — the number of elements in the array. The second line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^5) — the elements of the array.
It is guaranteed that the sum of n over all test cases does not exceed 10^4.
Output
For each test case print the answer to it as follows:
* if there is no suitable sequence of operations, print -1;
* otherwise, print one integer k (0 ≤ k ≤ 3n) — the number of operations in the sequence. Then print k lines, the m-th of which should contain three integers i, j and x (1 ≤ i, j ≤ n; 0 ≤ x ≤ 10^9) for the m-th operation.
If there are multiple suitable sequences of operations, print any of them. Note that you don't have to minimize k.
Example
Input
3
4
2 16 4 18
6
1 2 3 4 5 6
5
11 19 1 1 3
Output
2
4 1 2
2 3 3
-1
4
1 2 4
2 4 5
2 3 3
4 5 1
Submitted Solution:
```
import os
import sys
from io import BytesIO, IOBase
_str = str
BUFSIZE = 8192
def str(x=b''):
return x if type(x) is bytes else _str(x).encode()
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = 'x' in file.mode or 'r' not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b'\n') + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode('ascii'))
self.read = lambda: self.buffer.read().decode('ascii')
self.readline = lambda: self.buffer.readline().decode('ascii')
def inp():
return sys.stdin.readline()
def mpint():
return map(int, sys.stdin.readline().split(' '))
def itg():
return int(sys.stdin.readline())
# ############################## import
# ############################## main
def solve():
n = itg()
arr = [0] + list(mpint())
s = sum(arr)
if s % n:
print(-1)
return
s //= n
# collect values to arr[0]
op = 0
required = []
output = []
for i in range(2, n + 1):
x = arr[i] // i
if x:
op += 1
output.append((i, 1, x))
arr[1] += x * i
arr[i] -= x * i
else: # arr[i] < i
required.append((i - arr[i], i)) # (required, index)
# collect again (add required first)
required.sort()
for r, i in required:
if arr[1] >= r:
op += 2
output.append((1, i, r))
output.append((i, 1, 1))
arr[1] += arr[i]
arr[i] = 0
for j in range(2, n + 1):
x = s - arr[j]
if x < 0 or arr[1] < x:
break
if x:
op += 1
output.append((1, j, x))
arr[1] -= x
arr[j] += x
del arr[0]
if arr != [s] * n:
print(-1)
else:
print(op)
for p in output:
print(*p)
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
if __name__ == '__main__':
# print("YES" if solve() else "NO")
# print("yes" if solve() else "no")
# solve()
for _ in range(itg()):
# print(*solve())
solve()
# Please check!
``` | instruction | 0 | 76,901 | 5 | 153,802 |
No | output | 1 | 76,901 | 5 | 153,803 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We'll define S(n) for positive integer n as follows: the number of the n's digits in the decimal base. For example, S(893) = 3, S(114514) = 6.
You want to make a consecutive integer sequence starting from number m (m, m + 1, ...). But you need to pay S(n)·k to add the number n to the sequence.
You can spend a cost up to w, and you want to make the sequence as long as possible. Write a program that tells sequence's maximum length.
Input
The first line contains three integers w (1 ≤ w ≤ 1016), m (1 ≤ m ≤ 1016), k (1 ≤ k ≤ 109).
Please, do not write the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
Output
The first line should contain a single integer — the answer to the problem.
Examples
Input
9 1 1
Output
9
Input
77 7 7
Output
7
Input
114 5 14
Output
6
Input
1 1 2
Output
0
Submitted Solution:
```
w,m,k=map(int,input().split())
#print('w='+str(w)+' m='+str(m)+' k='+str(k))
n=m-1
l=len(str(m))
#print('l='+str(l))
while w>0:
t=((10**l)-n-1)*l*k
#print('t='+str(t))
if w<=t:
n+=w//(l*k)
w=0
else:
n=10**l
w=w-t-(l+1)*k
l+=1
#print('n='+str(n)+' w='+str(w))
print(n-m+1)
``` | instruction | 0 | 77,073 | 5 | 154,146 |
Yes | output | 1 | 77,073 | 5 | 154,147 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We'll define S(n) for positive integer n as follows: the number of the n's digits in the decimal base. For example, S(893) = 3, S(114514) = 6.
You want to make a consecutive integer sequence starting from number m (m, m + 1, ...). But you need to pay S(n)·k to add the number n to the sequence.
You can spend a cost up to w, and you want to make the sequence as long as possible. Write a program that tells sequence's maximum length.
Input
The first line contains three integers w (1 ≤ w ≤ 1016), m (1 ≤ m ≤ 1016), k (1 ≤ k ≤ 109).
Please, do not write the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
Output
The first line should contain a single integer — the answer to the problem.
Examples
Input
9 1 1
Output
9
Input
77 7 7
Output
7
Input
114 5 14
Output
6
Input
1 1 2
Output
0
Submitted Solution:
```
w,m,k=map(int,input().split())
d=(len(str(m)))
ans=0
c = min(10**d - m, w//(k*d))
while c:
ans+=c
w-= c*k*d
m=10**d
d+=1
c=min(10**d-m,w//(k*d))
print(ans)
``` | instruction | 0 | 77,074 | 5 | 154,148 |
Yes | output | 1 | 77,074 | 5 | 154,149 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We'll define S(n) for positive integer n as follows: the number of the n's digits in the decimal base. For example, S(893) = 3, S(114514) = 6.
You want to make a consecutive integer sequence starting from number m (m, m + 1, ...). But you need to pay S(n)·k to add the number n to the sequence.
You can spend a cost up to w, and you want to make the sequence as long as possible. Write a program that tells sequence's maximum length.
Input
The first line contains three integers w (1 ≤ w ≤ 1016), m (1 ≤ m ≤ 1016), k (1 ≤ k ≤ 109).
Please, do not write the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
Output
The first line should contain a single integer — the answer to the problem.
Examples
Input
9 1 1
Output
9
Input
77 7 7
Output
7
Input
114 5 14
Output
6
Input
1 1 2
Output
0
Submitted Solution:
```
def f(x):
digs = len(str(x))
ndig = digs*(x - 10**(digs-1) + 1)
for i in range(1, digs):
ndig += i * 9*10**(i-1)
return ndig
a, b, c = map(int, input().split(' '))
num = a // c
need = num + f(b-1)
lo = 0
hi = 10**18
while lo < hi:
mid = (lo + hi + 1) // 2
if f(mid) > need:
hi = mid - 1
else:
lo = mid
print(lo-b+1)
``` | instruction | 0 | 77,075 | 5 | 154,150 |
Yes | output | 1 | 77,075 | 5 | 154,151 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We'll define S(n) for positive integer n as follows: the number of the n's digits in the decimal base. For example, S(893) = 3, S(114514) = 6.
You want to make a consecutive integer sequence starting from number m (m, m + 1, ...). But you need to pay S(n)·k to add the number n to the sequence.
You can spend a cost up to w, and you want to make the sequence as long as possible. Write a program that tells sequence's maximum length.
Input
The first line contains three integers w (1 ≤ w ≤ 1016), m (1 ≤ m ≤ 1016), k (1 ≤ k ≤ 109).
Please, do not write the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
Output
The first line should contain a single integer — the answer to the problem.
Examples
Input
9 1 1
Output
9
Input
77 7 7
Output
7
Input
114 5 14
Output
6
Input
1 1 2
Output
0
Submitted Solution:
```
w, m, k = map(int, input().split())
cost, num = 0, 0
ln = len(str(m))
aim = 10**ln
if (aim - m)*ln*k <= w:
cost += (aim - m)*ln*k
num += (aim - m)
m = aim
ln += 1
while True:
if ln*k*9*10**(ln-1)+cost <= w:
cost += ln*k*9*10**(ln-1)
num += 9*10**(ln-1)
m = 10**ln
ln += 1
else:
break
lastm = m
aim = 10**ln
mid, lastn = 0, 0
while aim != m+1:
mid = m + (aim-m)//2
if ln*k*(mid-lastm)+cost <= w:
m = mid
else:
aim = mid
print(num + m - lastm)
``` | instruction | 0 | 77,076 | 5 | 154,152 |
Yes | output | 1 | 77,076 | 5 | 154,153 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We'll define S(n) for positive integer n as follows: the number of the n's digits in the decimal base. For example, S(893) = 3, S(114514) = 6.
You want to make a consecutive integer sequence starting from number m (m, m + 1, ...). But you need to pay S(n)·k to add the number n to the sequence.
You can spend a cost up to w, and you want to make the sequence as long as possible. Write a program that tells sequence's maximum length.
Input
The first line contains three integers w (1 ≤ w ≤ 1016), m (1 ≤ m ≤ 1016), k (1 ≤ k ≤ 109).
Please, do not write the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
Output
The first line should contain a single integer — the answer to the problem.
Examples
Input
9 1 1
Output
9
Input
77 7 7
Output
7
Input
114 5 14
Output
6
Input
1 1 2
Output
0
Submitted Solution:
```
from math import log
w,m,k = map(int,input().split())
d = 0
z = int(log(m,10))
zlom = 10**z
while w > 0 :
z+=1
zlom*=10
c = (zlom-m)*z*k
if c > w :
x = w//(z*k)
d+=x
break
w-=c
d+=(zlom-m)
m = zlom
print(d)
``` | instruction | 0 | 77,077 | 5 | 154,154 |
No | output | 1 | 77,077 | 5 | 154,155 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We'll define S(n) for positive integer n as follows: the number of the n's digits in the decimal base. For example, S(893) = 3, S(114514) = 6.
You want to make a consecutive integer sequence starting from number m (m, m + 1, ...). But you need to pay S(n)·k to add the number n to the sequence.
You can spend a cost up to w, and you want to make the sequence as long as possible. Write a program that tells sequence's maximum length.
Input
The first line contains three integers w (1 ≤ w ≤ 1016), m (1 ≤ m ≤ 1016), k (1 ≤ k ≤ 109).
Please, do not write the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
Output
The first line should contain a single integer — the answer to the problem.
Examples
Input
9 1 1
Output
9
Input
77 7 7
Output
7
Input
114 5 14
Output
6
Input
1 1 2
Output
0
Submitted Solution:
```
w,m,k=list(map(int,input().split()))
z=a=10**len(str(m))-m
if a*k>=w:
print(w//(len(str(m))*k))
else:
w-=a*k
c=len(str(m))+1
while w>0:
a=9*10**(c-1)
if a*c*k>=w:
print(w//(c*k)+z)
break
w-=a*c*k
z+=a
c+=1
``` | instruction | 0 | 77,078 | 5 | 154,156 |
No | output | 1 | 77,078 | 5 | 154,157 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We'll define S(n) for positive integer n as follows: the number of the n's digits in the decimal base. For example, S(893) = 3, S(114514) = 6.
You want to make a consecutive integer sequence starting from number m (m, m + 1, ...). But you need to pay S(n)·k to add the number n to the sequence.
You can spend a cost up to w, and you want to make the sequence as long as possible. Write a program that tells sequence's maximum length.
Input
The first line contains three integers w (1 ≤ w ≤ 1016), m (1 ≤ m ≤ 1016), k (1 ≤ k ≤ 109).
Please, do not write the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
Output
The first line should contain a single integer — the answer to the problem.
Examples
Input
9 1 1
Output
9
Input
77 7 7
Output
7
Input
114 5 14
Output
6
Input
1 1 2
Output
0
Submitted Solution:
```
read = lambda: tuple(map(int, input().split()))
w, m, k = read()
l = [10**v-1 for v in range(1, 30)]
cv = m
s = lambda v: len(str(v))*k
cd = 0
ln = 0
for lv in l:
if cv < lv:
d = min(w, (lv - cv + 1) * s(cv)) // s(cv)
w -= d * s(cv)
ln += d
cv = lv + 1
print(ln)
``` | instruction | 0 | 77,079 | 5 | 154,158 |
No | output | 1 | 77,079 | 5 | 154,159 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We'll define S(n) for positive integer n as follows: the number of the n's digits in the decimal base. For example, S(893) = 3, S(114514) = 6.
You want to make a consecutive integer sequence starting from number m (m, m + 1, ...). But you need to pay S(n)·k to add the number n to the sequence.
You can spend a cost up to w, and you want to make the sequence as long as possible. Write a program that tells sequence's maximum length.
Input
The first line contains three integers w (1 ≤ w ≤ 1016), m (1 ≤ m ≤ 1016), k (1 ≤ k ≤ 109).
Please, do not write the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
Output
The first line should contain a single integer — the answer to the problem.
Examples
Input
9 1 1
Output
9
Input
77 7 7
Output
7
Input
114 5 14
Output
6
Input
1 1 2
Output
0
Submitted Solution:
```
import math
w,m,k=map(int,input().split())
x=int("1"+("0"*len(str(m))))
h=x-m
n=len(str(m))
ans=w//(n*k)
if(ans>h):
ans=h
w-=h*n*k
while(w>0):
n+=1
x=w//(n*k)
if(x>=10**(n-1)*9):
ans+=10**(n-1)*9
w-=(n*k*10**(n-1)*9)
else:
ans+=x
break
print(ans)
print(ans)
``` | instruction | 0 | 77,080 | 5 | 154,160 |
No | output | 1 | 77,080 | 5 | 154,161 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are working as an analyst in a company working on a new system for big data storage. This system will store n different objects. Each object should have a unique ID.
To create the system, you choose the parameters of the system — integers m ≥ 1 and b_{1}, b_{2}, …, b_{m}. With these parameters an ID of some object in the system is an array of integers [a_{1}, a_{2}, …, a_{m}] where 1 ≤ a_{i} ≤ b_{i} holds for every 1 ≤ i ≤ m.
Developers say that production costs are proportional to ∑_{i=1}^{m} b_{i}. You are asked to choose parameters m and b_{i} so that the system will be able to assign unique IDs to n different objects and production costs are minimized. Note that you don't have to use all available IDs.
Input
In the only line of input there is one positive integer n. The length of the decimal representation of n is no greater than 1.5 ⋅ 10^{6}. The integer does not contain leading zeros.
Output
Print one number — minimal value of ∑_{i=1}^{m} b_{i}.
Examples
Input
36
Output
10
Input
37
Output
11
Input
12345678901234567890123456789
Output
177
Submitted Solution:
```
n = int(input())
if n <= 4:
print(n)
cur = 1
power = 0
while 4 * cur < n:
cur = cur * 3
power = power + 3
if 2 * cur >= n:
print(power + 2)
elif 3 * cur >= n:
print(power + 3)
else:
print(power + 4)
``` | instruction | 0 | 77,337 | 5 | 154,674 |
No | output | 1 | 77,337 | 5 | 154,675 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are working as an analyst in a company working on a new system for big data storage. This system will store n different objects. Each object should have a unique ID.
To create the system, you choose the parameters of the system — integers m ≥ 1 and b_{1}, b_{2}, …, b_{m}. With these parameters an ID of some object in the system is an array of integers [a_{1}, a_{2}, …, a_{m}] where 1 ≤ a_{i} ≤ b_{i} holds for every 1 ≤ i ≤ m.
Developers say that production costs are proportional to ∑_{i=1}^{m} b_{i}. You are asked to choose parameters m and b_{i} so that the system will be able to assign unique IDs to n different objects and production costs are minimized. Note that you don't have to use all available IDs.
Input
In the only line of input there is one positive integer n. The length of the decimal representation of n is no greater than 1.5 ⋅ 10^{6}. The integer does not contain leading zeros.
Output
Print one number — minimal value of ∑_{i=1}^{m} b_{i}.
Examples
Input
36
Output
10
Input
37
Output
11
Input
12345678901234567890123456789
Output
177
Submitted Solution:
```
import math
n = int(input())
def well(k):
if(k * nr >= n) :
print(3 * lg + k)
exit(0)
def well2(k, k2):
if(k * k2 * nr >= n) :
print(3 * lg + k + k2)
exit(0)
def well3(k, k2, k3):
if(k * k2 * k3 * nr >= n) :
print(3 * lg + k + k2 + k3)
exit(0)
lg = math.log(n, 3)
lg = int(lg)
if(lg > 2):
lg -= 1
# print(lg)
nr = 3 ** lg
well(2);
well(3);
well(4);
well2(3, 2);
well2(3, 3);
well2(3, 4);
well3(3, 3, 2);
well3(3, 3, 3);
``` | instruction | 0 | 77,338 | 5 | 154,676 |
No | output | 1 | 77,338 | 5 | 154,677 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi, who lives on the number line, is now at coordinate X. He will make exactly K moves of distance D in the positive or negative direction.
More specifically, in one move, he can go from coordinate x to x + D or x - D.
He wants to make K moves so that the absolute value of the coordinate of the destination will be the smallest possible.
Find the minimum possible absolute value of the coordinate of the destination.
Constraints
* -10^{15} \leq X \leq 10^{15}
* 1 \leq K \leq 10^{15}
* 1 \leq D \leq 10^{15}
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
X K D
Output
Print the minimum possible absolute value of the coordinate of the destination.
Examples
Input
6 2 4
Output
2
Input
7 4 3
Output
1
Input
10 1 2
Output
8
Input
1000000000000000 1000000000000000 1000000000000000
Output
1000000000000000 | instruction | 0 | 77,343 | 5 | 154,686 |
"Correct Solution:
```
import math
X,K,D =map(int,input().split())
X=abs(X)
a=X//D
b=X%D
if a >K:
ans=(a-K)*D+b
else:
ans=X-a*D-((K-a)%2)*D
print(abs(ans))
``` | output | 1 | 77,343 | 5 | 154,687 |
Provide a correct Python 3 solution for this coding contest problem.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625 | instruction | 0 | 77,405 | 5 | 154,810 |
"Correct Solution:
```
K = int(input())
print(int(K/2) * int((K+1)/2))
``` | output | 1 | 77,405 | 5 | 154,811 |
Provide a correct Python 3 solution for this coding contest problem.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625 | instruction | 0 | 77,406 | 5 | 154,812 |
"Correct Solution:
```
x,y = divmod(int(input()),2)
print(x*(x+y))
``` | output | 1 | 77,406 | 5 | 154,813 |
Provide a correct Python 3 solution for this coding contest problem.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625 | instruction | 0 | 77,407 | 5 | 154,814 |
"Correct Solution:
```
k=int(input())
ans=k//2*((k+1)//2)
print(ans)
``` | output | 1 | 77,407 | 5 | 154,815 |
Provide a correct Python 3 solution for this coding contest problem.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625 | instruction | 0 | 77,408 | 5 | 154,816 |
"Correct Solution:
```
k = int(input())
print(int((k/2)**2))
``` | output | 1 | 77,408 | 5 | 154,817 |
Provide a correct Python 3 solution for this coding contest problem.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625 | instruction | 0 | 77,409 | 5 | 154,818 |
"Correct Solution:
```
x = int(input())
y = x // 2
print(y*(x-y))
``` | output | 1 | 77,409 | 5 | 154,819 |
Provide a correct Python 3 solution for this coding contest problem.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625 | instruction | 0 | 77,410 | 5 | 154,820 |
"Correct Solution:
```
K=int(input())
print((K+1)//2*(K//2))
``` | output | 1 | 77,410 | 5 | 154,821 |
Provide a correct Python 3 solution for this coding contest problem.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625 | instruction | 0 | 77,411 | 5 | 154,822 |
"Correct Solution:
```
n = int(input())
print((n // 2) * ((n + 1)// 2))
``` | output | 1 | 77,411 | 5 | 154,823 |
Provide a correct Python 3 solution for this coding contest problem.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625 | instruction | 0 | 77,412 | 5 | 154,824 |
"Correct Solution:
```
k = int(input())
print(-(-k//2)*(k+(-k//2)))
``` | output | 1 | 77,412 | 5 | 154,825 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625
Submitted Solution:
```
K = int(input())
a = int(K/2)
b = K-a
print(a*b)
``` | instruction | 0 | 77,413 | 5 | 154,826 |
Yes | output | 1 | 77,413 | 5 | 154,827 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625
Submitted Solution:
```
n=int(input())
print(n//2*(n-n//2))
``` | instruction | 0 | 77,414 | 5 | 154,828 |
Yes | output | 1 | 77,414 | 5 | 154,829 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625
Submitted Solution:
```
k = int(input())
a = k//2
b = k-a
print(a*b)
``` | instruction | 0 | 77,415 | 5 | 154,830 |
Yes | output | 1 | 77,415 | 5 | 154,831 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625
Submitted Solution:
```
k=int(input())
print((k-(k+1)//2)*((k+1)//2))
``` | instruction | 0 | 77,416 | 5 | 154,832 |
Yes | output | 1 | 77,416 | 5 | 154,833 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625
Submitted Solution:
```
import math
n = int(input())
print(math.ceil(n/2)*n//2)
``` | instruction | 0 | 77,417 | 5 | 154,834 |
No | output | 1 | 77,417 | 5 | 154,835 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625
Submitted Solution:
```
import math
k = 50
if k%2:
print(math.floor(k/2)*math.ceil(k/2))
else:
print(int((k/2)**2))
``` | instruction | 0 | 77,418 | 5 | 154,836 |
No | output | 1 | 77,418 | 5 | 154,837 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625
Submitted Solution:
```
k=input()
odd=1
even=0
for i in range(2,k+1):
if i%2==0:
even+=1
else:
odd+=1
print(odd*even)
``` | instruction | 0 | 77,419 | 5 | 154,838 |
No | output | 1 | 77,419 | 5 | 154,839 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
Constraints
* 2\leq K\leq 100
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive).
Examples
Input
3
Output
2
Input
6
Output
9
Input
11
Output
30
Input
50
Output
625
Submitted Solution:
```
N = int(input())
print((N/2)**2 if N%2==0 else (1+N//2)*(N//2))
``` | instruction | 0 | 77,420 | 5 | 154,840 |
No | output | 1 | 77,420 | 5 | 154,841 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
6 3
1 0 0 1 0 1
1 3 2
Output
1 | instruction | 0 | 77,528 | 5 | 155,056 |
"Correct Solution:
```
import copy
N,M = [int(i) for i in input().split()]
b = [int(i) for i in input().split()]
p = [int(i) for i in input().split()]
def solve(num):
ret = 0
c = copy.deepcopy(b)
c_ = []
for i in range(M):
c_ += [(int(i%2 == num))] * p[i]
#print(c,c_)
for i in range(N):
if c[i] != c_[i]:
for j in range(i,N):
if c_[i] == c[j]:
ret += j-i
# print(j-i)
c[i],c[j]=c[j],c[i]
break
else:
return 1000
return ret
print(min(solve(0),solve(1)))
``` | output | 1 | 77,528 | 5 | 155,057 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
6 3
1 0 0 1 0 1
1 3 2
Output
1 | instruction | 0 | 77,529 | 5 | 155,058 |
"Correct Solution:
```
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools
sys.setrecursionlimit(10**7)
inf = 10**20
eps = 1.0 / 10**10
mod = 998244353
dd = [(0,-1),(1,0),(0,1),(-1,0)]
ddn = [(0,-1),(1,-1),(1,0),(1,1),(0,1),(-1,-1),(-1,0),(-1,1)]
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]
def LF(): return [float(x) for x in sys.stdin.readline().split()]
def LS(): return sys.stdin.readline().split()
def I(): return int(sys.stdin.readline())
def F(): return float(sys.stdin.readline())
def S(): return input()
def pf(s): return print(s, flush=True)
def main():
rr = []
while True:
n,m = LI()
b = LI()
p = LI()
r = inf
t = []
for i in range(m):
t += [i % 2] * p[i]
if sorted(collections.Counter(t).items()) == sorted(collections.Counter(b).items()):
tr = 0
pi = 0
for i in range(n):
if t[i] != 1:
continue
while b[pi] != 1:
pi += 1
tr += abs(i-pi)
pi += 1
r = tr
t = []
for i in range(m):
t += [(i+1) % 2] * p[i]
if sorted(collections.Counter(t).items()) == sorted(collections.Counter(b).items()):
tr = 0
pi = 0
for i in range(n):
if t[i] != 1:
continue
while b[pi] != 1:
pi += 1
tr += abs(i-pi)
pi += 1
if r > tr:
r = tr
rr.append(r)
break
return '\n'.join(map(str, rr))
print(main())
``` | output | 1 | 77,529 | 5 | 155,059 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
6 3
1 0 0 1 0 1
1 3 2
Output
1 | instruction | 0 | 77,530 | 5 | 155,060 |
"Correct Solution:
```
def read():
return list(map(int,input().split()))
def calc(bs,ls,first):
if sum(ls[0::2])!=bs.count(first) or sum(ls[1::2])!=bs.count(1-first):
return float("inf")
res=0
i,j=0,0
for k in range(0,len(ls),2):
if k>0: i+=ls[k-1]
for _ in range(ls[k]):
j=bs.index(first,j)
res+=abs(j-i)
i+=1
j+=1
return res
while 1:
try:
n,m=read()
bs=read()
ls=read()
except: break
print(min(calc(bs,ls,i) for i in range(2)))
``` | output | 1 | 77,530 | 5 | 155,061 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
6 3
1 0 0 1 0 1
1 3 2
Output
1 | instruction | 0 | 77,531 | 5 | 155,062 |
"Correct Solution:
```
N, M = map(int, input().split())
*B, = map(int, input().split())
*P, = map(int, input().split())
def solve(v):
C = B[:]
D = []
for i in range(M):
D += [(i & 1) ^ v]*P[i]
res = 0
for i in range(N):
if C[i] != D[i]:
for j in range(i, N):
if D[i] == C[j]:
C[i], C[j] = C[j], C[i]
res += j - i
break
else:
return 10**9
return res
print(min(solve(0), solve(1)))
``` | output | 1 | 77,531 | 5 | 155,063 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
6 3
1 0 0 1 0 1
1 3 2
Output
1 | instruction | 0 | 77,532 | 5 | 155,064 |
"Correct Solution:
```
# -*- coding: utf-8 -*-
( n, m ) = map ( int, input ( ).split ( ) )
b = tuple ( map ( int, input ( ).split ( ) ) )
p = list ( map ( int, input ( ).split ( ) ) )
cs = 0
ss = { }
fs = [ ]
bs = [ b ]
while bs:
( fs, bs ) = ( bs, fs )
while fs:
b = fs.pop ( )
if b not in ss:
ss[ b ] = cs
b = list ( b )
for i in range ( n - 1 ):
( b[ i ], b[ i + 1 ] ) = ( b[ i + 1 ], b[ i ] )
bs.append ( tuple ( b ) )
( b[ i + 1 ], b[ i ] ) = ( b[ i ], b[ i + 1 ] )
cs = cs + 1
for ( k, v ) in ss.items ( ):
res = [ ]
co = 1
for i in range ( 1, len ( k ) ):
if k[ i - 1 ] == k[ i ]:
co = co + 1
else:
res.append ( co )
co = 1
res.append ( co )
if res == p and v < cs:
cs = v
print ( cs )
``` | output | 1 | 77,532 | 5 | 155,065 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are three arrays a, b and c. Each of them consists of n integers. SmallY wants to find three integers u, v, w (0 ≤ u, v, w ≤ n) such that the following condition holds: each number that appears in the union of a, b and c, appears either in the first u elements of a, or in the first v elements of b, or in the first w elements of c. Of course, SmallY doesn't want to have huge numbers u, v and w, so she wants sum u + v + w to be as small as possible.
Please, help her to find the minimal possible sum of u + v + w.
Input
The first line contains a single integer n (1 ≤ n ≤ 105). The second line contains n space-separated integers a1, a2, ..., an — array a. The third line contains the description of array b in the same format. The fourth line contains the description of array c in the same format. The following constraint holds: 1 ≤ ai, bi, ci ≤ 109.
Output
Print a single integer — the minimum possible sum of u + v + w.
Examples
Input
3
1 1 101
1 2 1
3 2 1
Output
5
Input
5
1 1 2 2 3
2 2 4 3 3
3 3 1 1 1
Output
5
Note
In the first example you should choose u = 3, v = 0, w = 2.
In the second example you should choose u = 1, v = 3, w = 1.
Submitted Solution:
```
import fileinput
import copy
i=0
for line in fileinput.input():
if i==0:
n = int(line)
myLists = [[] for i in range(3)]
i+=1
else:
myLists[i-1] = [int(i) for i in line.split()]
i+=1
#if n == 27:
# for i in range(len(myLists)):
# print(myLists[i])
myListsCopy = copy.deepcopy(myLists)
def sortUnion(listToUnionSort):
if len(listToUnionSort) ==1:
ans = list(set(listToUnionSort))
ans.sort()
return ans
else:
ans = listToUnionSort[0]
for i in range(1,len(listToUnionSort)):
ans.extend(listToUnionSort[i])
ans = list(set(ans))
ans.sort()
return ans
myUnionList = sortUnion(myListsCopy)
L1 = len(myUnionList)
L = len(myLists[0])
myUnionDict = {}
for i in range(L1):
k = []
for j in range(3):
if myUnionList[i] in myLists[j]:
k.append(myLists[j].index(myUnionList[i]))
else:
k.append(L)
myUnionDict[myUnionList[i]] = k
#print(myUnionDict)
def myMiniMax(myLists,myDict, L):
valuesL = list(myDict.values())
if len(valuesL) == 0:
return [L]
myMin = [ min(i) for i in valuesL ]
myMax = max(myMin)
relNum = [myLists[j][myMax] for j in range(len(myLists))]
maxRelNum = max(relNum)
myMaxVec = [i == maxRelNum for i in relNum]
return [myMax, myMaxVec]
def myPruneFunc(myLists, myDict, myListIndex, myIndex):
valuesToRemove = list(set(myLists[myListIndex][0:(myIndex+1)]))
for i in valuesToRemove:
if i in list(myDict.keys()):
myDict.pop(i)
for i in list(myDict.keys()):
del myDict[i][myListIndex]
del myLists[myListIndex]
def myRecFunc(myLists, myDict, currentSum, L):
myMax = myMiniMax(myLists,myDict,L)
if myMax[0] == L:
return currentSum
if len(myLists) == 0:
return currentSum
if len(myLists[0])==1:
return currentSum+1+myMax[0]
else:
numCandidates = sum(myMax[1])
candIndex = []
for i in range(0, len(myMax[1])):
if myMax[1][i]:
candIndex.append(i)
ansList = []
copiedLists = []
copiedDict = []
for i in range(len(candIndex)):
copiedLists.append(copy.deepcopy(myLists))
copiedDict.append(copy.deepcopy(myDict))
myPruneFunc(copiedLists[i],copiedDict[i],candIndex[i],myMax[0])
ansList.append(myRecFunc(copiedLists[i],copiedDict[i],currentSum+myMax[0],L))
return min(ansList)
a = myRecFunc(myLists,myUnionDict,0,L)
print(a)
def operate(A):
myMin = [ min(i) for i in list(A.values())]
myIndex = myMin.index(max(myMin))
valueInterest = max(A[myIndex])
indexInterest = A[myIndex].index(valueInterest)
for i in range(myIndex+1):
A.pop(myLists[indexInterest][i])
``` | instruction | 0 | 77,813 | 5 | 155,626 |
No | output | 1 | 77,813 | 5 | 155,627 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are three arrays a, b and c. Each of them consists of n integers. SmallY wants to find three integers u, v, w (0 ≤ u, v, w ≤ n) such that the following condition holds: each number that appears in the union of a, b and c, appears either in the first u elements of a, or in the first v elements of b, or in the first w elements of c. Of course, SmallY doesn't want to have huge numbers u, v and w, so she wants sum u + v + w to be as small as possible.
Please, help her to find the minimal possible sum of u + v + w.
Input
The first line contains a single integer n (1 ≤ n ≤ 105). The second line contains n space-separated integers a1, a2, ..., an — array a. The third line contains the description of array b in the same format. The fourth line contains the description of array c in the same format. The following constraint holds: 1 ≤ ai, bi, ci ≤ 109.
Output
Print a single integer — the minimum possible sum of u + v + w.
Examples
Input
3
1 1 101
1 2 1
3 2 1
Output
5
Input
5
1 1 2 2 3
2 2 4 3 3
3 3 1 1 1
Output
5
Note
In the first example you should choose u = 3, v = 0, w = 2.
In the second example you should choose u = 1, v = 3, w = 1.
Submitted Solution:
```
import fileinput
import copy
i=0
for line in fileinput.input():
if i==0:
n = int(line)
myLists = [[0]*n for i in range(3)]
i+=1
else:
myLists[i-1] = [int(i) for i in line.split()]
i+=1
myListsCopy = copy.deepcopy(myLists)
def sortUnion(listToUnionSort):
if len(listToUnionSort) ==1:
ans = list(set(listToUnionSort))
ans.sort()
return ans
else:
ans = listToUnionSort[0]
for i in range(1,len(listToUnionSort)):
ans.extend(listToUnionSort[i])
ans = list(set(ans))
ans.sort()
return ans
myUnionList = sortUnion(myListsCopy)
L1 = len(myUnionList)
L = len(myLists[0])
myUnionDict = {}
for i in range(L1):
k = []
for j in range(3):
if myUnionList[i] in myLists[j]:
k.append(myLists[j].index(myUnionList[i]))
else:
k.append(L)
myUnionDict[myUnionList[i]] = k
#print(myUnionDict)
def myMiniMax(myLists,myDict, L):
valuesL = list(myDict.values())
if len(valuesL) == 0:
return [L]
myMin = [ min(i) for i in valuesL ]
myMax = max(myMin)
relNum = [myLists[j][myMax] for j in range(len(myLists))]
maxRelNum = max(relNum)
myMaxVec = [i == maxRelNum for i in relNum]
return [myMax, myMaxVec]
def myPruneFunc(myLists, myDict, myListIndex, myIndex):
valuesToRemove = list(set(myLists[myListIndex][0:(myIndex+1)]))
for i in valuesToRemove:
if i in list(myDict.keys()):
myDict.pop(i)
for i in list(myDict.keys()):
del myDict[i][myListIndex]
del myLists[myListIndex]
def myRecFunc(myLists, myDict, currentSum, L):
myMax = myMiniMax(myLists,myDict,L)
if myMax[0] == L:
return currentSum
if len(myLists) == 0:
return currentSum
if len(myLists[0])==1:
return currentSum+1+myMax[0]
else:
numCandidates = sum(myMax[1])
candIndex = []
for i in range(0, len(myMax[1])):
if myMax[1][i]:
candIndex.append(i)
ansList = []
copiedLists = []
copiedDict = []
for i in range(len(candIndex)):
copiedLists.append(copy.deepcopy(myLists))
copiedDict.append(copy.deepcopy(myDict))
myPruneFunc(copiedLists[i],copiedDict[i],candIndex[i],myMax[0])
ansList.append(myRecFunc(copiedLists[i],copiedDict[i],currentSum+1+myMax[0],L))
return min(ansList)
print(myRecFunc(myLists,myUnionDict,0,L))
def operate(A):
myMin = [ min(i) for i in list(A.values())]
myIndex = myMin.index(max(myMin))
valueInterest = max(A[myIndex])
indexInterest = A[myIndex].index(valueInterest)
for i in range(myIndex+1):
A.pop(myLists[indexInterest][i])
``` | instruction | 0 | 77,814 | 5 | 155,628 |
No | output | 1 | 77,814 | 5 | 155,629 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are three arrays a, b and c. Each of them consists of n integers. SmallY wants to find three integers u, v, w (0 ≤ u, v, w ≤ n) such that the following condition holds: each number that appears in the union of a, b and c, appears either in the first u elements of a, or in the first v elements of b, or in the first w elements of c. Of course, SmallY doesn't want to have huge numbers u, v and w, so she wants sum u + v + w to be as small as possible.
Please, help her to find the minimal possible sum of u + v + w.
Input
The first line contains a single integer n (1 ≤ n ≤ 105). The second line contains n space-separated integers a1, a2, ..., an — array a. The third line contains the description of array b in the same format. The fourth line contains the description of array c in the same format. The following constraint holds: 1 ≤ ai, bi, ci ≤ 109.
Output
Print a single integer — the minimum possible sum of u + v + w.
Examples
Input
3
1 1 101
1 2 1
3 2 1
Output
5
Input
5
1 1 2 2 3
2 2 4 3 3
3 3 1 1 1
Output
5
Note
In the first example you should choose u = 3, v = 0, w = 2.
In the second example you should choose u = 1, v = 3, w = 1.
Submitted Solution:
```
import fileinput
import copy
i=0
for line in fileinput.input():
if i==0:
n = int(line)
myLists = [[] for i in range(3)]
i+=1
else:
myLists[i-1] = [int(i) for i in line.split()]
i+=1
#if n == 27:
# for i in range(len(myLists)):
# print(myLists[i])
myListsCopy = copy.deepcopy(myLists)
def sortUnion(listToUnionSort):
if len(listToUnionSort) ==1:
ans = list(set(listToUnionSort))
ans.sort()
return ans
else:
ans = listToUnionSort[0]
for i in range(1,len(listToUnionSort)):
ans.extend(listToUnionSort[i])
ans = list(set(ans))
ans.sort()
return ans
myUnionList = sortUnion(myListsCopy)
L1 = len(myUnionList)
L = len(myLists[0])
myUnionDict = {}
for i in range(L1):
k = []
for j in range(3):
if myUnionList[i] in myLists[j]:
k.append(myLists[j].index(myUnionList[i]))
else:
k.append(L)
myUnionDict[myUnionList[i]] = k
#print(myUnionDict)
def myMiniMax(myLists,myDict, L):
valuesL = list(myDict.values())
if len(valuesL) == 0:
return [L]
myMin = [ min(i) for i in valuesL ]
myMax = max(myMin)
relNum = [myLists[j][myMax] for j in range(len(myLists))]
maxRelNum = max(relNum)
myMaxVec = [i == maxRelNum for i in relNum]
return [myMax, myMaxVec]
def myPruneFunc(myLists, myDict, myListIndex, myIndex):
valuesToRemove = list(set(myLists[myListIndex][0:(myIndex+1)]))
for i in valuesToRemove:
if i in list(myDict.keys()):
myDict.pop(i)
for i in list(myDict.keys()):
del myDict[i][myListIndex]
del myLists[myListIndex]
def myRecFunc(myLists, myDict, currentSum, L):
myMax = myMiniMax(myLists,myDict,L)
if myMax[0] == L:
return currentSum
if len(myLists) == 0:
return currentSum
if len(myLists[0])==1:
return currentSum+1+myMax[0]
else:
numCandidates = sum(myMax[1])
candIndex = []
for i in range(0, len(myMax[1])):
if myMax[1][i]:
candIndex.append(i)
ansList = []
copiedLists = []
copiedDict = []
for i in range(len(candIndex)):
copiedLists.append(copy.deepcopy(myLists))
copiedDict.append(copy.deepcopy(myDict))
myPruneFunc(copiedLists[i],copiedDict[i],candIndex[i],myMax[0])
ansList.append(myRecFunc(copiedLists[i],copiedDict[i],currentSum+1+myMax[0],L))
return min(ansList)
a = myRecFunc(myLists,myUnionDict,0,L)
if a != 66:
print(a)
else:
print(65)
def operate(A):
myMin = [ min(i) for i in list(A.values())]
myIndex = myMin.index(max(myMin))
valueInterest = max(A[myIndex])
indexInterest = A[myIndex].index(valueInterest)
for i in range(myIndex+1):
A.pop(myLists[indexInterest][i])
``` | instruction | 0 | 77,815 | 5 | 155,630 |
No | output | 1 | 77,815 | 5 | 155,631 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are three arrays a, b and c. Each of them consists of n integers. SmallY wants to find three integers u, v, w (0 ≤ u, v, w ≤ n) such that the following condition holds: each number that appears in the union of a, b and c, appears either in the first u elements of a, or in the first v elements of b, or in the first w elements of c. Of course, SmallY doesn't want to have huge numbers u, v and w, so she wants sum u + v + w to be as small as possible.
Please, help her to find the minimal possible sum of u + v + w.
Input
The first line contains a single integer n (1 ≤ n ≤ 105). The second line contains n space-separated integers a1, a2, ..., an — array a. The third line contains the description of array b in the same format. The fourth line contains the description of array c in the same format. The following constraint holds: 1 ≤ ai, bi, ci ≤ 109.
Output
Print a single integer — the minimum possible sum of u + v + w.
Examples
Input
3
1 1 101
1 2 1
3 2 1
Output
5
Input
5
1 1 2 2 3
2 2 4 3 3
3 3 1 1 1
Output
5
Note
In the first example you should choose u = 3, v = 0, w = 2.
In the second example you should choose u = 1, v = 3, w = 1.
Submitted Solution:
```
import fileinput
import copy
i=0
for line in fileinput.input():
if i==0:
n = int(line)
myLists = [[] for i in range(3)]
i+=1
else:
myLists[i-1] = [int(i) for i in line.split()]
i+=1
if n == 27:
for i in range(len(myLists)):
print(myLists[i][0])
myListsCopy = copy.deepcopy(myLists)
def sortUnion(listToUnionSort):
if len(listToUnionSort) ==1:
ans = list(set(listToUnionSort))
ans.sort()
return ans
else:
ans = listToUnionSort[0]
for i in range(1,len(listToUnionSort)):
ans.extend(listToUnionSort[i])
ans = list(set(ans))
ans.sort()
return ans
myUnionList = sortUnion(myListsCopy)
L1 = len(myUnionList)
L = len(myLists[0])
myUnionDict = {}
for i in range(L1):
k = []
for j in range(3):
if myUnionList[i] in myLists[j]:
k.append(myLists[j].index(myUnionList[i]))
else:
k.append(L)
myUnionDict[myUnionList[i]] = k
#print(myUnionDict)
def myMiniMax(myLists,myDict, L):
valuesL = list(myDict.values())
if len(valuesL) == 0:
return [L]
myMin = [ min(i) for i in valuesL ]
myMax = max(myMin)
relNum = [myLists[j][myMax] for j in range(len(myLists))]
maxRelNum = max(relNum)
myMaxVec = [i == maxRelNum for i in relNum]
return [myMax, myMaxVec]
def myPruneFunc(myLists, myDict, myListIndex, myIndex):
valuesToRemove = list(set(myLists[myListIndex][0:(myIndex+1)]))
for i in valuesToRemove:
if i in list(myDict.keys()):
myDict.pop(i)
for i in list(myDict.keys()):
del myDict[i][myListIndex]
del myLists[myListIndex]
def myRecFunc(myLists, myDict, currentSum, L):
myMax = myMiniMax(myLists,myDict,L)
if myMax[0] == L:
return currentSum
if len(myLists) == 0:
return currentSum
if len(myLists[0])==1:
return currentSum+1+myMax[0]
else:
numCandidates = sum(myMax[1])
candIndex = []
for i in range(0, len(myMax[1])):
if myMax[1][i]:
candIndex.append(i)
ansList = []
copiedLists = []
copiedDict = []
for i in range(len(candIndex)):
copiedLists.append(copy.deepcopy(myLists))
copiedDict.append(copy.deepcopy(myDict))
myPruneFunc(copiedLists[i],copiedDict[i],candIndex[i],myMax[0])
ansList.append(myRecFunc(copiedLists[i],copiedDict[i],currentSum+1+myMax[0],L))
return min(ansList)
print(myRecFunc(myLists,myUnionDict,0,L))
def operate(A):
myMin = [ min(i) for i in list(A.values())]
myIndex = myMin.index(max(myMin))
valueInterest = max(A[myIndex])
indexInterest = A[myIndex].index(valueInterest)
for i in range(myIndex+1):
A.pop(myLists[indexInterest][i])
``` | instruction | 0 | 77,816 | 5 | 155,632 |
No | output | 1 | 77,816 | 5 | 155,633 |
Provide a correct Python 3 solution for this coding contest problem.
Print the circumference of a circle of radius R.
Constraints
* 1 \leq R \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
R
Output
Print the circumference of the circle. Your output is considered correct if and only if its absolute or relative error from our answer is at most 10^{-2}.
Examples
Input
1
Output
6.28318530717958623200
Input
73
Output
458.67252742410977361942 | instruction | 0 | 78,015 | 5 | 156,030 |
"Correct Solution:
```
R = int(input())
print(R*6.283184)
``` | output | 1 | 78,015 | 5 | 156,031 |
Provide a correct Python 3 solution for this coding contest problem.
Print the circumference of a circle of radius R.
Constraints
* 1 \leq R \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
R
Output
Print the circumference of the circle. Your output is considered correct if and only if its absolute or relative error from our answer is at most 10^{-2}.
Examples
Input
1
Output
6.28318530717958623200
Input
73
Output
458.67252742410977361942 | instruction | 0 | 78,016 | 5 | 156,032 |
"Correct Solution:
```
r=int(input())
print(6.283*r)
``` | output | 1 | 78,016 | 5 | 156,033 |
Provide a correct Python 3 solution for this coding contest problem.
Print the circumference of a circle of radius R.
Constraints
* 1 \leq R \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
R
Output
Print the circumference of the circle. Your output is considered correct if and only if its absolute or relative error from our answer is at most 10^{-2}.
Examples
Input
1
Output
6.28318530717958623200
Input
73
Output
458.67252742410977361942 | instruction | 0 | 78,017 | 5 | 156,034 |
"Correct Solution:
```
a=int(input())
print(2*3.14*a)
``` | output | 1 | 78,017 | 5 | 156,035 |
Provide a correct Python 3 solution for this coding contest problem.
Print the circumference of a circle of radius R.
Constraints
* 1 \leq R \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
R
Output
Print the circumference of the circle. Your output is considered correct if and only if its absolute or relative error from our answer is at most 10^{-2}.
Examples
Input
1
Output
6.28318530717958623200
Input
73
Output
458.67252742410977361942 | instruction | 0 | 78,018 | 5 | 156,036 |
"Correct Solution:
```
x=int(input())
print(x*3.14159*2)
``` | output | 1 | 78,018 | 5 | 156,037 |
Provide a correct Python 3 solution for this coding contest problem.
Print the circumference of a circle of radius R.
Constraints
* 1 \leq R \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
R
Output
Print the circumference of the circle. Your output is considered correct if and only if its absolute or relative error from our answer is at most 10^{-2}.
Examples
Input
1
Output
6.28318530717958623200
Input
73
Output
458.67252742410977361942 | instruction | 0 | 78,019 | 5 | 156,038 |
"Correct Solution:
```
N = int(input())
print(2*N*3.14)
``` | output | 1 | 78,019 | 5 | 156,039 |
Provide a correct Python 3 solution for this coding contest problem.
Print the circumference of a circle of radius R.
Constraints
* 1 \leq R \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
R
Output
Print the circumference of the circle. Your output is considered correct if and only if its absolute or relative error from our answer is at most 10^{-2}.
Examples
Input
1
Output
6.28318530717958623200
Input
73
Output
458.67252742410977361942 | instruction | 0 | 78,020 | 5 | 156,040 |
"Correct Solution:
```
R=int(input())
print((2*R)*3.142)
``` | output | 1 | 78,020 | 5 | 156,041 |
Provide a correct Python 3 solution for this coding contest problem.
Print the circumference of a circle of radius R.
Constraints
* 1 \leq R \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
R
Output
Print the circumference of the circle. Your output is considered correct if and only if its absolute or relative error from our answer is at most 10^{-2}.
Examples
Input
1
Output
6.28318530717958623200
Input
73
Output
458.67252742410977361942 | instruction | 0 | 78,021 | 5 | 156,042 |
"Correct Solution:
```
print(int(input())*2*3.14159265)
``` | output | 1 | 78,021 | 5 | 156,043 |
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